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Finding the Fourth Proportional to 100,514.21, 138,569.48 and 82,301.36

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Solution

The fourth proportional to 100,514.21, 138,569.48 and 82,301.36 is: 113,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,514.21 : 138,569.48 = 82,301.36 : x
  2. Step 2: Convert to fraction form
    100,514.21/138,569.48 = 82,301.36/x
  3. Step 3: Cross multiply
    100,514.21x = 138,569.48 × 82,301.36
  4. Step 4: Simplify right side
    100,514.21x = 11,404,455,554.14
  5. Step 5: Solve for x
    x = 11,404,455,554.14/100,514.21
  6. Step 6: Final answer
    x = 113,461.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.